Answer: x = 7
Thus 7 associates and 10 partners were assigned
Step-by-step explanation:
7 associates and 10 partners were assigned
Let "x" be the number of associates assigned to
case
Let "y" be the number of partners assigned to the case
The law firm assigned a total of 17 lawyers to the case
Therefore,
x + y = 17
x = 17 - y --------- eqn 1
daily rate charged to the client for each associate is $800
daily rate for each partner is $1800
They was able to charge the client $23600 per day for these lawyers' services
Therefore,
800x + 1800y = 23600 ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
800(17 - y) + 1800y = 23600
13600 - 800y + 1800y = 23600
1000y = 23600 - 13600
1000y = 10000
Divide both sides by 1000
y = 10
Substitute y = 10 in eqn 1
x = 17 - 10
x = 7
Thus 7 associates and 10 partners were assigned
